| 一类捕食-食饵模型平衡解的局部分歧的存在性 |
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| 引用本文： | 查淑玲.一类捕食-食饵模型平衡解的局部分歧的存在性[J].陕西工学院学报,2009(2):82-84. |
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| 作者姓名： | 查淑玲 |
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| 作者单位： | 渭南师范学院数学与信息科学系,陕西渭南714000 |
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| 基金项目： | 渭南师范学院科研资助项目（09YKS003）. |
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| 摘 要： | 利用局部分歧理论,研究了一类捕食-食饵模型在Neumann边界条件下平衡解的局部分歧的存在性,从而得到其正解存在的充分条件。
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| 关 键 词： | 响应函数 平衡态 分歧 |
Existence of local bifurcation in steady-state solutions of a prey-predator model |
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| ZHA Shu-ling.Existence of local bifurcation in steady-state solutions of a prey-predator model[J].Journal of Shaanxi Institute of Technology,2009(2):82-84. |
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| Authors: | ZHA Shu-ling |
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| Affiliation: | ZHA Shu-ling (Department of Mathematics and Information Sciences,Weinan Teacher College, Weinan 714000, China) |
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| Abstract: | Based on the local bifurcation theory, the existence of local bifurcation in steady-state solutions of a prey-predator model under the homogeneous Neumann boundary condition was studied in this paper. Furthermore, sufficient conditions for the existence of positive steady-state solutions were obtained. |
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| Keywords: | response function steady-state bifurcation |
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